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Simplifying 19 = 7 + -1(b + 8) Reorder the terms: 19 = 7 + -1(8 + b) 19 = 7 + (8 * -1 + b * -1) 19 = 7 + (-8 + -1b) Combine like terms: 7 + -8 = -1 19 = -1 + -1b Solving 19 = -1 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 19 + b = -1 + -1b + b Combine like terms: -1b + b = 0 19 + b = -1 + 0 19 + b = -1 Add '-19' to each side of the equation. 19 + -19 + b = -1 + -19 Combine like terms: 19 + -19 = 0 0 + b = -1 + -19 b = -1 + -19 Combine like terms: -1 + -19 = -20 b = -20 Simplifying b = -20
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